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Finding the Fourth Proportional to 6,467.96, 9,687.35 and 4,528.82

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Solution

The fourth proportional to 6,467.96, 9,687.35 and 4,528.82 is: 6,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.96 : 9,687.35 = 4,528.82 : x
  2. Step 2: Convert to fraction form
    6,467.96/9,687.35 = 4,528.82/x
  3. Step 3: Cross multiply
    6,467.96x = 9,687.35 × 4,528.82
  4. Step 4: Simplify right side
    6,467.96x = 43,872,193.35
  5. Step 5: Solve for x
    x = 43,872,193.35/6,467.96
  6. Step 6: Final answer
    x = 6,783.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.